Given to a boy born on Sunday. In Akan day-name tradition, each day of the week carries its own spiritual character; Sunday's is associated with the universe as a whole. Also spelled Kwesi.
Source: Akan day-name system, cross-referenced across Wikipedia (Kwame, Akwasi), Prairie View A&M University Library Guide ("The Akan Day Names and Their Embedded Ancient Symbolism"), and UNC African Studies Center teaching materials ("Akan Naming Tradition")